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Finding the Third Proportional to 5,199,872.63 and 11,594,667.38

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Solution

The third proportional to 5,199,872.63 and 11,594,667.38 is: 25,853,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,872.63 : 11,594,667.38 = 11,594,667.38 : x
  2. Step 2: Convert to fraction form
    5,199,872.63/11,594,667.38 = 11,594,667.38/x
  3. Step 3: Cross multiply
    5,199,872.63x = 11,594,667.38 × 11,594,667.38
  4. Step 4: Simplify right side
    5,199,872.63x = 134,436,311,536,889.39
  5. Step 5: Solve for x
    x = 134,436,311,536,889.39/5,199,872.63
  6. Step 6: Final answer
    x = 25,853,770.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.